FIRST AND 2ND-ORDER OPTIMALITY CONDITIONS FOR CONVEX COMPOSITE MNLTIOBJECTIVE OPTIMIZATION

Multiobjective optimization is a useful mathematical model in order to investigate real-world problems with conflicting objectives, arising from economics, engineering, and human decision making. In this paper, a convex composite multiobjective optimization problem, subject to a closed convex constraint set, is studied. New first-order optimality c onditions for a weakly efficient solution of the convex composite mult iobjective optimization problem are established via sacralization. The se conditions are then extended to derive second-order optimality cond itions.